Triangle Classification: Is This an Acute-Angled Triangle?

Question

Is the triangle in the drawing an acute-angled triangle?

Video Solution

Solution Steps

00:00 Determine whether the triangle is acute-angled
00:03 Proceed to examine all the angles
00:06 All of them are less than 90 degrees, therefore the triangle is acute-angled, and that's the solution

Step-by-Step Solution

To solve this problem, we'll analyze the key features of an acute-angled triangle and determine if the triangle in the drawing fits this classification.

Definition Review: An acute-angled triangle is a triangle where all interior angles are less than 9090^\circ. This implies examining the geometric structure to ensure no angles exceed or equal 9090^\circ.

Steps for Verification:

  • Analyze whether changes in angles can lead to right or obtuse angles.
  • Check features such as side length variations that help confirm this in various geometries.
  • Consider symmetry or specific style if indicated in a complete or symmetrical manner supporting acute settings.

Conclusion:
Upon analysis of these guiding factors and geometric principles relevant to acute-angled triangles, and considering configurations leading to all sharp interior angles, we conclude: Yes, the triangle is acute-angled.

Answer

Yes